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ISSN 1403-2473 (Print)

Working Paper in Economics No. 722

Roman Roads to Prosperity: Persistence and Non-Persistence of Public Goods Provision

Carl-Johan Dalgaard, Nicolai Kaarsen, Ola Olsson Pablo Selaya

Department of Economics, February 2018

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Roman Roads to Prosperity:

Persistence and Non-Persistence of Public Goods Provision

Carl-Johan Dalgaard

Nicolai Kaarsen

Ola Olsson

§

Pablo Selaya

February 16, 2018

Abstract

How persistent is public goods provision in a comparative perspective? We ex- plore the link between infrastructure investments made during antiquity and the presence of infrastructure today, as well as the link between early infrastructure and economic activity both in the past and in the present, across the entire area un- der dominion of the Roman Empire at the zenith of its geographical extension (117 CE). We find a remarkable pattern of persistence showing that greater Roman road density goes along with (a) greater modern road density, (b) greater settlement for- mation in 500 CE, and (c) greater economic activity in 2010. Interestingly, however, the degree of persistence in road density and the link between early road density and contemporary economic development is weakened to the point of insignifi- cance in areas where the use of wheeled vehicles was abandoned from the first millennium CE until the late modern period. Taken at face value, our results sug- gest that infrastructure may be one important channel through which persistence in comparative development comes about.

Keywords: Roman roads, Roman Empire, public goods, infrastructure, persistence.

JEL classification codes: H41, O40.

We have received useful comments on various versions of the present study from seminar partici- pants in Belfast, Bergen, Copenhagen, Gothenburg, London School of Economics, Manchester, Tokyo, Sheffield and the workshop “Deep-Rooted Factors in Comparative Development” at Brown University.

The usual disclaimer applies.

University of Copenhagen, CAGE (Warwick) and CEPR (London). carl.johan.dalgaard@econ.ku.dk

Danish Economic Council. nik@dors.dk

§University of Gothenburg. ola.olsson@economics.gu.se

University of Copenhagen. pablo.selaya@econ.ku.dk

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1 Introduction

One of the most remarkable facts in the literature on comparative development is just how persistent relative development differences are over time. On average, societies that were relatively economically developed during the pre-industrial era tend to be comparatively successful today.

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As an illustration of such persistence, Figure 1 depicts the conditional relationship between the intensity of Roman settlements in 500 CE and contemporary population density, within the area under Roman control ca. 117 CE, after controlling for country fixed effects. This insight has led researchers to search for the origins of comparative development in (geographic) initial conditions, or in historical processes that have shaped cultural traits and the institutional infrastructure of individuals societies.

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Meanwhile much less attention has been devoted to the study of persistence in proximate determinants of growth, factors that could be the channel or the transmis- sion mechanism connecting fundamentals to economic development in the past and in the present. Yet a deeper understanding of the channels through which persistence in comparative development comes about may leave important clues as to which fun- damentals are important, and how to potentially stimulate development in situations where important fundamentals are lacking.

Figure 1

The present study explores the persistence of physical infrastructure across time and space, starting in antiquity with the establishment of the Roman road network.

As discussed below, Roman road construction did not follow the rules of infrastruc- ture planning in the contemporary era: The roads were build chiefly with a military purpose in mind, and geographic obstacles in the landscape were usually surmounted rather than evaded. Despite this, our analysis uncovers a remarkable degree of per- sistence in road density across time and space: areas that attained greater road den- sity during antiquity are characterized by a significantly higher road density today.

Moreover, the Roman roads were strongly linked to economic activity by the end of

1See, for example, Olsson and Hibbs (2005); Comin et al. (2010); Chanda et al. (2015); Maloney and Valencia (2016).

2See Spolaore and Wacziarg (2013); Nunn (2014) and Ashraf and Galor (forthcoming) for recent re- views.

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antiquity, and they remain a strong positive correlate with prosperity today. Overall, our analysis provides evidence that public goods provision is an important channel through which persistence in economic development, as depicted in Figure 1, may arise.

In our analysis we confine attention to localities, grid cells measuring one degree latitude by one degree longitude, that were part of the Roman Empire by the second century CE and were treated by at least one Roman road. By omitting areas that fell outside the Empire, as well as those completely unconnected to the network within the Empire, we hope to disentagle the influence of the physical infrastructure on economic outcomes from the legacy of Roman rule more broadly.

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To further limit the risk of confounding the impact of the Roman roads with Roman influence more broadly, and to filter out the impact of modern day institutions and (sub-national) differences in cul- tural values on economic outcomes of interest, we control for country fixed effects as well as language fixed effects throughout our entire econometric analysis. We believe this strategy makes it unlikely that our results are driven by the legacy of Roman rule in the broadest terms. However, a natural concern is that areas receiving more Roman roads may differ in various geographic dimensions that by themselves may have in- fluenced comparative economic development. We attempt to surmount this challenge in several different ways.

For starters it is important to observe that the risk of confounding the influence of roads with geography may not be as great as one might think, as alluded to above and elaborated upon below. According to the historical literature, it is conventional wis- dom that major Roman roads were built to facilitate the movement of troops across the empire, rather than with the objective of enhancing economic development. Moreover, the roads were arguably only to a limited extent dictated by geographic circumstances.

In our analysis we examine these arguments statistically. The role of many geographic characteristics does in fact seem limited. In the end, however, we find a claim of or- thogonality between geography and Roman road location to be untenable, for which reason we control for a rich set of geographical characteristics when exploring the per- sistence of early road infrastructure over time, and its predictive power vis-a-vis eco-

3See Landes (1998) on the legacy of Roman rule. More recent research has shown that areas under Roman influence arguably developed different institutions from areas outside Roman direct influence (e.g. Glaeser and Shleifer, 2002).

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nomic development.

Still, doubts may linger whether our control strategy is fully sufficient. Therefore, our second strategy to assess the importance of potentially omitted geographic char- actaristics consists in exploiting the remarkable timespan of abandonment of wheeled transportation in North Africa and the Middle East. According to the landmark study by William Bulliet (1990 [1975]), wheeled transport disappeared in North Africa and the Middle East somewhere between the fourth and sixth century CE. Eventually, wheeled transport vehicles had to be reintroduced with the ascent of the automobile.

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Consequently, following the fall of the Western part of the Roman Empire, the roads fell into disrepair, and ultimately went out of use in North Africa and the Middle East.

In contrast, Roman roads continued to be maintained and in use in Europe after the fall of the Western Roman Empire (Glick, 2005 [1979]; Hitchener, 2012).

From the point of view of the present study, this natural experiment has two im- portant implications. First, as the ancient roads fall into disuse and thus are left un- maintained, it becomes much less likely that modern roads are built in their place.

Consequently, one would expect to see a far weaker link between Roman road den- sity and modern road density outside the European part of the Empire. Second, if the roads create persistence in economic development, one would expect to find a far weaker link between ancient infrastructure and modern-day economic activity within the regions where roads temporarily lost relevance. Consistent with these conjectures, we find that there is no significant link between ancient infrastructure and modern infrastructure within North Africa and the Middle East. Moreover, within these two regions the ancient infrastructure is not a significant predictor of economic activity to- day. In contrast, in Europe – the region where roads continued to be used and therefore maintained – ancient roads predict modern roads as well as prosperity.

This differentiated effect of Roman road density is revealing from the point of view of identifying channels of influence. Naturally, the fundamental principles govern- ing the construction of the Roman roads were the same throughout the Empire. If our baseline results are tainted by omitted variable bias, for example due to missing ge- ographic characteristics that matter both for road location and subsequent economic activity, one would expect to see evidence of an apparent persistence of infrastructure

4See also Chaves et al. (2014) on the absence of wheeled transport in Sub-Saharan Africa and its introduction during the early colonial period.

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density as well as a persistent impact from ancient infrastructure on modern economic activity throughout the Empire. Accordingly, in light of our findings, the "abandon- ment of the wheel"-experiment provides fairly compelling evidence of the mechanism under scuntiny: persistence in public goods provision leads to persistence in economic activity.

The present paper is related to several strands of literature. First, it is related to the literature on long-run persistence in economic development summarized in Spo- laore and Wacziarg (2013); Nunn (2014) and Ashraf and Galor (forthcoming). This literature has largely been concerned with the influence and origins of fundamental determinants of productivity that ultimately can explain persistence in comparative development.

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In contrast, the present paper focuses on channels of persistence, or the persistence of proximate sources of growth. In particular, the focus is on whether public goods provision appears to be persistent across long periods of time. From this perspective our work is related to Chen, Kung and Ma (2017), who document within China a remarkable persistence of another proximate source of growth: education. The authors argue persuasively that the observed persistence is (in part, at least) explained by the emergence of a pro-education culture, prompted by early educational invest- ments. The argument is importantly supported by the fact that persistence in schooling weakens markedly in areas particularly exposed to the anti-intellectual Cultural Revo- lution. Our study documents that the provision of public goods – road infrastructure – is similarly persistent over very long periods of time, except in areas where roads lose economic value early on. By carefully controlling for the influence of (countrywide) formal institutions and (within-country) informal institutions, our findings indicate that this persistence is unlikely to be mediated by the emergence of cultural values or institutions. Instead, our analysis suggests that later roads likely were built on top of older roads, thus creating persistence in road density.

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Of course, in places where the signs of the early roads disappear, modern roads would be less likely to be located along the ancient trajectories.

Second, our paper also contributes to a small literature on the economics of the Ro-

5Recent contributions include Galor and Özak (2016), Gorodnichenko and Roland (2017) on culture and development; Angelucci et al (2017) on institutions and Andersen et et al. (2016) on geography.

6Our finding of a persistency in road investments over time is also consistent with the presence of local increasing returns to scale in infrastructure investments, as emphasized in a literature inspired by Krugman (1991).

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man period (Finley, 1973; Temin, 2006; Bowman and Wilson, 2009; Michaels and Rauch, 2016). A striking feature of the classic work by Finley (1973), for instance, is its relative neglect of the general importance of roads. A common theme is that road transport was inferior to shipping in terms of efficiency and hence of less importance. Recent research however has started to re-examine the influence of the Roman road network on long-run develeopment. Bosker et al. (2013), studying determinants of city growth between 800 CE and 1800, document that cities located at intersection points between Roman roads grew bigger in Europe, but not in North Africa and the Middle East.

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The present study focuses on the persistence of infrastructure over time, which is not discussed in Bosker et al. Moreover, we study the impact of ancient infrastructure on 21st century economic activity rather than urban population size at the eve of the late Modern period. Also related is the work of Wahl (2017), who investigates the Roman limes inside Germany and finds that contemporary development is more advanced on the old Roman side of the border using a regression discontinuity design. Wahl iden- tifies the road system as an important explanatory factor, which is consistent with our findings that pertain to the European part of the Empire more generally. At the same time, our analysis provides evidence on how shocks in the past, such a the abandon- ment of the wheel, can importantly perturb development trajectories with long-run implications for comparative development.

Third, in recent years, a surge of interest in the economic effects of infrastructure has resulted in a number of important studies. The results indicate that infrastructure in- vestments often have a strong positive influence on population growth and economic activity.

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A major difference with the present study obviously consists of the time horizon over which the consequences of infrastructure investments are assessed; with a two millennia perspective we believe the present study has the longest observation window hitherto explored. At the same time it is important to stress that the objective of the present study is not to estimate the productivity gains from infrastructure per se. In fact, our approach does not allow us to distinguish whether areas that received more infrastructure investments outgrew areas with less infrastructure because of pro- ductivity benefits from public goods, or if more public goods in a particular location

7On the link between city location and Roman roads within Europe, see also Bosker and Buringh (2017).

8On roads see Fernald (1999), Michaels (2008), and Bird and Straub ( 2015). On railways see Banerjee et al (2012), Donaldson (2012), Jedwab and Moradi (2015), and Hornung (2015).

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simply attracted activity from other locations. As should be clear, the main focus of the present study is rather to assess the persistence of public goods provision and thereby whether public goods provision has a significant role to play in the observed pattern of persistence of comparative development.

The paper proceeds as follows. In section 2, we present our data on Roman roads, and our outcome variables. In section 3, we outline an historical background on the assignment of Roman roads as well as formal tests of the geographical determinants of Roman road density. In section 4, we present and discuss the main empirical results.

Section 5 concludes.

2 Data

In this section we describe the central independent variable in the regressions to fol- low, the Roman roads variable, as well as the main dependent variables that appear below. The appendix contains a description of remaining (control) variables, as well as summary statistics.

2.1 Independent variable: Roman Roads

The raw data for the Roman roads come from a digitized map version of the road network illustrated and documented in Talbert’s (2000) "Barrington Atlas of the Greek and Roman World".

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We focus on all roads identified in the digitized map as being of major importance, and drop all roads identified as minor because of the difficulties involved in getting precise traces of small ancient roads.

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In terms of timing and geographic coverage, we concentrate on roads within the borders of the Roman Empire in the year 117 CE, which is around the time when the empire attained its maximum

9The digitization was done by McCormick et al (2013), as part of the Digital Atlas of Roman and Medieval Civilization (DARMC) project of the Center for Geographic Analysis at Harvard University, http://darmc.harvard.edu.

10The Barrington Atlas notices, in fact, that the roads system is perhaps “the most difficult element to map”. Page 262 in the map-by-map directory that accompanies Talbert’s (2000) Barrington Atlas describes, for example, the difficulty of mapping minor roads that had neither milestones nor paving in the outline of Augustan roads or in routes through the Alpine valleys (Map 18). Page 169 describes, as another example, the use of tree-ring dating methods to overcome the difficulties in tracing parts of the Via Claudia Augusta (Map 12). See http://press.princeton.edu/B_ATLAS/B_ATLAS.PDF for a detailed description of all roads and other features contained in the Barrington Atlas.

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territorial expansion.

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To construct a measure of the influence that Roman roads have had, we draw areas (buffers) of 5 km around the trace of each road in the whole network, and compute the percentage of area of these buffers within the contours of country-cells, or the portion pixels of 1x1 degrees of latitude by longitude that lie within the borders of each modern country that the Roman Empire covered in 117 CE. As an illustration of our procedure to measure the degree of influence of Roman roads, Figure 2 shows the buffer around all major roads in the Roman Empire, and Figure 3 zooms in on the road system and the buffer around the main Roman roads crossing the area of Lutetia (contemporary Paris) in France.

Fig 2-3

At first sight, a 5 km buffer may seem large, and it is certainly possible to construct a smaller buffer. The choice is made so as to accomodate the fact that early Roman infrastructure was associated with a range of adjacent investments, as discussed be- low, including drainage and more. In order to be sure to envelope the total treatment resulting from the road construction, we use the said buffer size. This still allows a lot of variation since our unit of observation are areas of about 10,000 km2 (if measured at the equator).

As mentioned in the introduction, we confine our attention to country-cells that were treated by at least one Roman road. That is, we focus the analysis exclusively on the intensive margin of infrastructure investments. Also, in order to disentagle the in- fluence of the physical infrastructure on economic outcomes from the legacy of Roman rule more broadly, we drop areas that fell outside the Empire or were unconnected to the road network within the Empire. Still, in the interest of completeness, we also report, in the appendix, results where we measure Roman roads along the extensive margin, within the borders of the Roman Empire.

2.2 Dependent variable I: Modern roads

Data for modern roads are taken from the Seamless Digital Chart of the World (SDCW) Base Map version 3.01, which is one of the most comprehensive global GIS databases

11Data on the extent of the Roman Empire in the year 117 AD are from the Ancient World Mapping Center at the University of North Carolina at Chapel Hill, http://awmc.unc.edu.

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that is freely available.

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The road network data in the SDCW version 3.01 was published in 2000 and include various characteristics of roadways, which are classified according to whether they are operational or under construction, including a median (the central area reserved to separate opposing lanes of traffic in divided roads) or not, and covering primary, secondary or unknown (unexamined or not surveyed) routes.

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As the modern (2000) counterpart to the major Roman Roads in the Barrington Atlas, we select all primary and secondary modern roads, with or without a median, and with known (examined/surveyed) characteristics (that is, we drop all unexamined or not surveyed modern roads). Primary modern roads are defined as hard surface, all weather roads with two or more lanes in width, and maintained for automobile traffic.

Secondary roads are defined as all other roads maintained for automobile traffic.

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Just as we do for the Roman roads, we build our indicator of the intensity of modern roads by constructing a buffer of 5 km around the network of modern roadways, and computing the percentage of the buffer area within each country-cell of 1x1 degrees of latitude and longitude within each country within the contours of the Roman Empire in the year 117.

2.3 Dependent variable II: Roman settlements

As a measure of economic development at the end of antiquity we use the number of Roman settlements in the year 500 CE. We take these data from the Digital Atlas of the Roman Empire (DARE) constructed by Åhlfeldt (2017).

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The dataset was compiled using Talbert (2000) and other sources, and contains the location of settlements, mines,

12The SDCW dataset, built by Global Mapping International, is a collection of shapefile layers for a variety of geographic and population features. The underlying data are from the U.S. Government’s Digital Chart of the World (DCW), which is a comprehensive and consistent cartographic global data- base at a scale of 1:1,000,000 (Langas 1995), developed and maintained by the US National Imagery and Mapping Agency. The underlying US Government’s DCW data in SDCW version 3.01 is based on the Vector Map (VMap) Level 0, Edition 5 database published in September 2000 by the US National Imagery and Mapping Agency. See World GeoDatasets (2017) for full documentation of the SDCW database.

13Specifically, the road categories in te SDCW are: (1) road with a median (for primary, secondary or unknown routes), (2) primary route, operational (including all primary routes except those under construction and without a median), (3) primary route under construction (including all primary routes and under construction roads), (4) secondary route or unknown, operational, without a median, (5) secondary route or unknown, under construction or doubtful, (6) unexamined/unsurveyed.

14See Langas (1995) for details.

15The DARE data is continuously updated. Our version was downloaded from the Pleiades data site https://pleiades.stoa.org/home on August 16, 2017.

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forts, villas and various other localities. The observed time span of existence is indi- cated for each locality. We compute the number of large settlements that existed in year 500 CE within each country-cell.

2.4 Dependent variable III and IV: Nightlights and population den- sity in 2010

As proxies of local economic activity today we rely on the intensity of lights at night and the level of population density, both measured in 2010.

The raw data for lights data come from satellites and sensors operated by the US Department of Defense’s Version 4 Defense Meteorological Satellite Program Opera- tional Linescan System (DMSP-OLS).

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We use nighttime lights raw imagery at a res- olution of 30 arc seconds and compute averages within each 1x1 country-cell within the contours of the Roman Empire in 117 CE. Figure 2 above shows the contempo- rary geographical distribution of nightlights in the area former covered by the Roman Empire.

For population density we use the UN-adjusted 2010 population count from the Gridded Population of the World version 4 database, that adjusts gridded population numbers to United Nations (UN) estimates of national population counts.

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To con- struct population densities, we simply sum population numbers within each country- cell and divide the sum by the total country-cell area.

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3 The Roman Roads

3.1 Historical Introduction

The Roman road construction program during antiquity is generally considered to have been initiated in 312 BCE when censor Claudius Appius started the construc- tion of a paved, all-weather road, subsequently named Via Appia, from Rome to Capua

16Data available at

http://www.ngdc.noaa.gov/eog/dmsp/downloadV4composites.html

17The alternative are unadjusted population levels, which are based on individual countries censuses and population registers, which we avoid with the aim of having more comparable data.

18We use the finest resolution data of 30 arc seconds to compute our variables. The raw data are available at http://sedac.ciesin.columbia.edu/data/collection/gpw-v4.

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(Figure 4). The immediate reason for the construction of Via Appia was the ongoing Second Samnite War in which the Roman armies were trapped around Capua due to shortage of supplies from Rome. It is believed that the road was completed in 308 BCE.

With the new and more efficient supply lines, the Romans defeated the Samnites in 304 BCE and Via Appia was eventually extended all the way to the southeastern port city of Brundisium a few decades later (Laurence, 1999).

Fig 4

Via Appia was neither the first road in the Mediterranean area (the Persians under Darius the Great had for instance constructed extensive royal roads in the 5th cen- tury BCE), nor in Roman territory (earlier, non-paved roads are mentioned by ancient Roman sources). Nonetheless, it would come to serve as a model for future road con- structions, first on the Italian peninsula and later in the broader empire.

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At the peak of the Roman empire at the death of Trajan in 117 CE, it is estimated that the empire hosted about 80,000 km of paved road (Gabriel, 2002). As Figure 2 shows, the road system connected regions in current Britain, Western Europe, Eastern Europe, North Africa and the Near East.

Because of their military purpose for achieving effective Roman control of a terri- tory, the construction of these public highways (viae publicae) was carried out by Roman legions, and it was typically commissioned by a censor and administered by curatores in Rome.

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Most of these roads were paved with stone and cement. Road building also included supporting public goods such as bridges, tunnels, guest houses, and drainage systems which required substantial engineering skills. Scholars have suggested that the construction of roads also fostered the use of ground surveys and maps (Davies, 1998). Ordinary citizens sometimes had to pay tolls at city gates and bridges, and the military always had priority. The viae publicae network was complemented by local roads, viae vicinales, which typically linked the major roads to a town or to other ma- jor roads. These roads were mainly the responsibility of local governments (Laurence, 1999).

19In Italy, for instance Via Flaminia (completed in 220 BCE) connected Rome with the Adriatic coast, whereas Via Aemilia (187 BCE) cut through the Po plain and made that imporant agricultural area avail- able for Roman colonization.

20Censor and curator were public offices in Republican Rome. During Imperial times, road construc- tion was mainly carried out by the emperors.

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3.2 The Assignment of Roman Roads: Historical Priors

There are three main reasons why the Roman road construction program almost presents itself as a natural experiment, from the vantage point of the historical literature: i) The military purpose of the roads, ii) the preferred straightness of the construction, and iii) their construction in newly conquered and often undeveloped regions.

First, just as mentioned above with the early experience with the Appia during the war with the Samnites, the purpose of the roads was to increase the speed and the ease with which the legions could reach locations of military interest – including territories of ongoing campaigns, army bases and Roman colonies that provided the army with essential supplies. Viae publicae also played a key role for the consolidation of power and hegemony in newly conquered areas.

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When the Roman limes stabilized along its northern and eastern frontiers, the road system was used to transport marching troops to the their legionary bases along the border. Very soon, the roads were also used by traders and for transportation of agricultural goods, but this was not the main intention.

Second, Roman roads were typically very straight over extensive distances. The ambition of the road engineers was typically to connect an existing point A in an area under Roman control with a specific point B in an area where power was less consoli- dated. The example of contemporary Rimini and Piacenza in Figure A1 in the Appen- dix illustrates this tendency. An obvious reason for choosing a straight road was the shorter distance and the lower costs in terms of building material and soldier efforts.

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The straightness of the roads implied that they often passed right over hills and across difficult terrain. Via Appia, for instance, passed like a straight line right from Rome to the existing colony in Terracina through the Pontine marshes (Figure 4). Malaria was prevalent in this area and the Romans had to construct drainage systems in order to be able to get through. The marching armies were not necessarily much constrained by these difficult conditions, but it has been claimed that the steepness of the roads often made them unsuitable for commercial ox-drawn carts with agricultural goods (Mokyr,

21Laurence (1999) argues that a broader objective with the roads was also to demonstrate the gen- eral technological superiority and political commitment of the Romans to the peoples in neighboring areas. The construction of roads signalled an ability to even change the geography of landscapes, which presumably greatly impressed many of Rome’s rivals.

22See Davies (1998) for an account of how the Romans managed to keep the roads straight between two points without modern surveying tools.

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1990).

The fact that the major roads tended to be straight also suggests that in between the two connecting points A and B, the highway system often was not adjusted to take into account pre-existing local economic or other social characteristics. For instance, the Romans consciously avoided linking Via Appia to a number of existing Latin set- tlements in the vicinity (Laurence, 1999). In this sense, we argue that the straightness of the roads gives the road construction program the character of a random treatment on the pre-Roman countryside.

This relates to the third argument, namely that the Roman roads were often con- structed in newly conquered areas without any extensive, or at least not comparable, existing network of cities and infrastructure. The Roman roads were laid out in territo- ries in which they had limited prior knowledge and where they had the aim of quickly securing Roman hegemony.

As an illustration of this point, consider the case of Lugdunum (contemporary Lyon). Julius Caesar’s conquest of Gaul north of the Mediterranean coast was com- pleted relatively rapidly during a frantic campaign in the 50s BCE. There were many existing towns and cities in Gaul when the Romans arrived, but there was not a state in any sense comparable to the Roman polity, and most scholars refer to Gaul as proto- urban at the time (Woolf, 1998). In year 47 BCE, Caesar created a Roman colony in the important town of Vienne, 30 km south of contemporary Lyon in the Rhone valley and, at the time, the main settlement (referred to by Caesar as oppida) of the Gallic Al- lobroges tribe (see Figure A2 in the Appendix). In 43 BCE, the Romans were expelled from Vienne by the Allobroges. According to the Roman historian Dio Cassius, the Roman Senate then ordered the governor of Gallia Transalpina to found a new city for the refugees from Vienne to the north at the intersection of the Rhone and Saone rivers. This city became the Roman town of Lugdunum. According to Åhlfeldt (2017), this location was not an important existing oppida.

Shortly after the establishment of Lugdunum, Marcus Vipsanius Agrippa, the gov-

ernor of Gallia Transalpina, initiated an extensive road building project in order to

consolidate Roman rule in Gaul. Lugdunum was connected southwards along the

Rhone to the important cities of Vienne, Avignon and Massilia. Agrippa also built ex-

tensive roads towards the Atlantic to the west, towards the North Sea, and towards the

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Rhine to the east, thereby making Lugdunum a key hub in Roman Gaul (Gros, 1991).

The city experienced a rapid growth as a result and soon eclipsed even the old Greek colonies to the south. It became the capital of and gave name to the Roman province of Gallia Lugdunensis, and served as the primary Roman city in Gaul for more than two centuries.

The example indicates that the Roman decision to make Lugdunum a hub of road construction was probably a combination of good geographical fundamentals (the Rhone and Saone intersection), the historical accident related to the hostility to Ro- mans in the previously much more significant town of Vienne, and the need to quickly consolidate power in Gaul. We do not have strong reasons to believe that Roman road construction was based on an already existing network of prosperous towns in the area. Figure A2 shows the pre-Roman oppida in the Lugdunum area, as well as the subsequent Roman roads and settlements. At least around this key city, there are no indications that the Romans consciously tried to connect to older settlements.

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3.3 The Assignment of Roman Roads: Formal tests

In Table 1, we investigate determinants of road density. As described in Section 2.1, our units of analysis are country-cells, or grid cells of 1x1 latitude-longitude degrees within the borders of modern countries and territories covered by the extent of the Roman empire in 117 CE. The dependent variable is (log) Roman road density (or the percentage of a 5 km buffer around the Roman road system that lies wihin the total area of a country-cell). Accordingly, only cells featuring at least one road are in the sample.

The question we examine in this part is essentially the extent to which the received perception from the historical literature, suggesting a very limited influence of geogra- phy and pre-roman development on road investments, is accurate. Naturally, if geog- raphy does not play a significant role for road assignment, it lessens the need to control for it in the regressions to follow.

Table 1

23Michaels and Rauch (2016) find however that the location of existing oppida – pre-roman fortified towns – does seem to predict the location of Roman towns in Gaul.

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In a number of instances the historical priors seem to be confirmed. Terrain rugged- ness does not limit road density; on the contrary the correlation is positive and sig- nificant (column 2). Similarly, in sub-samples where we have proxies for pre-roman development (oppidas, in the case of Europe, and the timing of the Neolithic), we find very little evidence that such factors influence road density (columns 7 and 8). Even areas featuring mining activity during Roman times are not characterized by greater road density (column 9).

The expected militaristic motivation for road construction can also be confirmed.

Areas further away from the borders of the empire feature less road density, and dis- tance to Rome also matters in the expect way (column 6). We also observe from column 1 that road density was greater in the northern part of the empire, and to the east. This pattern is most likely found because these areas were more contested than the south- ern border areas. Finally, the fact that road density declines when moving away from navigable rivers may also be related to the needs of the military. Of course, roads ulti- mately linked up to army outpost which needed to be supplied with provisions. The transport of food and other necessities would be cheaper by sea transport, which may create the link between road density and distance to navigable rivers.

In other cases the historical priors seem to ring less true. For example, there appears to be a clear positive correlation between various measures of agricultural productivity and road density (column 4). Similarly, grid cells found at greater levels of elevation feature significantly lower levels of road density. Since these geographic features natu- rally may influence economic development, and the location of modern roads, in their own right they are essential controls in the remaining. Also significant are our various distance measures to waterways. While the significance of waterways may be consis- tent with a military motivation for road construction it is obvious that waterways may influence development in their own right.

Finally, in column 10 we study the collective explanatory power of geography on

roman road density in our full sample. As can be seen geography does seem to mat-

ter: it accounts for about 40% of the variation in road density. Hence, while Table 1

does confirm important aspects of the historical priors it also clearly shows that geog-

raphy needs to be controlled for when examining the persistence of roads and the link

between ancient road density and economic activity today.

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4 Ancient roads, Modern roads and Economic Activity

4.1 Empirical specification

We take to the data the following cross-sectional specification:

log y

prc

= δ

c

+ δ

r

+ β RRD

prc

+ X

0prc

γ + e

prc

. (1)

Our dependent variable, pertaining to pixel p in language region r and country c is denoted y

prc

. The dependent variables of interest are, respectively, (log) modern day road density and (log) economic activity during antiquity and today. In the latter case we employ both nightlights (following Henderson et al, 2012) and population den- sity (e.g., Rappaport and Sachs, 2003) in 2010. The independent variable of particular interest is log (1+) Roman road density, RRD

prc

.

24

In an effort to control for countrywide institutions we include a full set of coun- try fixed effects, δ

c

. In addition, since past research has documented important within- country variation in culture that affect economic activity (e.g., Tabellini, 2010; Michalopou- los and Papaiannou 2013), we rely on a full set of language fixed effects as a proxy, δ

r

, following Andersen et al. (2016).

X

prc

contains additional controls, which can broadly be partitioned into three cat- egories. First, geographic variables that involve latitude, longitude, ruggedness, ele- vation and controls for soil quality. Second, proximity to waterbodies which involves distances to coast, major rivers and natural harbors. Third, a set of variables that con- trol for distances to Rome, the border of the empire and the current capital. In addition, we also control for the location of historical mines. Finally, in all specifications we con- trol for country-cell (prc-cell) area, as it varies with latitude and longitude due to the earth’s curvature, modern country limits, and the borders of the former Roman Em- pire.

Finally, in terms of statistical inference, we follow Abadie et al. (2017), who argue that cluster adjustments for the standard errors should only be performed if there are strong theoretical priors to do so. In particular, the authors argue that clustering is only relevant to address an experimental design issue and/or a sampling design issue.

24Accordingly, since log(1+x) x the coefficient β strictly speaking has the interpretation of a semi- elasticity.

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Briefly, the former issue arises if the treatment focus occurs at a higher level of ag- gregation than the unit of observation, whereas the second one emerges if multi-level sampling is taking place (e.g., first in a sample of countries and then in a sample of regions within those countries). In the present case our sample consists of all the pixels within the Roman Empire that where treated by Roman roads, which means neither of the two issues arises. Accordingly, we rely on standard errors that are robust to heteroskedasticity throughout the empirical analysis in the paper.

4.2 Baseline results

In Table 2 we explore the link between road density during antiquity, and road density today, in our full sample.

Table 2

As column 1 of Table 2 shows, on average ancient roads can account for about 12 percent of the current differences in modern-day road density within our sample. At the level of raw partial correlation, an increase in Roman road density by one percent is associated with an increase in modern day road density of about 0.24 percent.

In column 2 we introduce country fixed effects and in column 3 we introduce simul- tanously country fixed effects as well as language fixed effects so as to partial out the influence from institutions and cultural value variation within nations. The economic significance of Roman road density declines, but only to a minor extent.

Adding the first set of geographic controls, involving e.g. measures of agricultural potential, makes more of a difference. Collectively, the controls adds about eight per- cent in explanatory power, and reduces the elasticity of Roman roads to about 0.15.

As seen from the rest of the columns, the apparent persistent influence of ancient in- frastructure on modern infrastructure remains when we add further controls, and all of the controls collectively. In total, historical road networks and geography account for about one fifth of the variation in contemporanous road network across grid cells.

Figure 5

Figure 5 demonstrates the partial correlation, corresponding to the model estimated

in Table 2, column 7, using a binned partial residual plot in order better to assess the

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partial correlation in the present large sample. Consistent with our estimation ap- proach, we use a linear fit to summarize the relationship between Roman roads and modern roads.

25

The positive link appears well determined.

In the Appendix, we further examine the robustness of the link between ancient roads and modern roads. In particular, we perturb the sample in various ways. We examine whether the results are affected by omitting Italy; all areas within 100 km of the ocean or the Roman border, respectively; if we add further climatic variables such as frost days or if we control for pre-Roman economic activity. Overall the results reported in Table 2 carry over.

Turning to the link between ancient roads and economic activity, Table 3 examines the link between Roman roads and economic activity around the collapse of the West- ern Roman Empire at the end of the fifth century. As a measure of economic activity we use the density of major settlements. The control strategy is similar to that invoked in Table 2. The general message from the table is that Roman road density is statistically strongly correlated with early economic activity, featuring elasticities between 0.5 and 1; roads are significant at the one percent level or better, regardless of which controls are added.

Table 3.

The controls themselves appear to enter in a meaningful way. Briefly, our results indicate that by the fifth century CE we find more major settlements at low levels of el- evation and in areas with productive agriculture (column 4); close to the coast (column 5), and close to Rome (column 6). We also find that the density of major settlements declines as one moves from the southern parts of the empire and to the north, probably testifying to the importance of the Mediterranean basin during antiquity (Column 4, 7). In addition, the results indicate, more surprisingly, a weak tendency towards lower settlement density in the eastern part of the empire.

In the two subsequent tables, 4 and 5, we shift focus to contemporaneous economic activity, measured by nightlights (Table 4) and population density (Table 5).

Table 4, Table 5

25After partialing out controls we then divide the sample into 20 equal sized bins, average the resid- ualized Roman road density and Modern road density within these bins, and plot the resulting reduced sample.

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Once again, we find a statistically strong signal from ancient roads on economic activity. Regardless of controls, or exact choice of measure of economic activity, Roman road density is significant at the one percent level or better. Figure 6 and 7 depict the binned added variables plot for contemporaneous nightlights and population density, respectively, in the context of our full specification (Column 7 in the two tables). The strong positive (partial) correlations do not appear to be driven by outliers.

Figure 6 & 7

The point estimate for the controls are broadly consistent with priors. In both tables we find that economic activity tends to decline as one moves away from the ocean or navigable rivers. Also, economic activity tends to decline at higher levels of elevation, and with distance to the current capital. More unexpected is the positive correlation with ruggedness, which is found in both tables as well. These commonalities are con- sistent with the notion that both measures are reasonable proxies for economic activity.

At the same time, the result do not always line up. When we examine the determi- nants of nightlights we find a positive latitude gradient, but this is not the case when population density is used. On the other hand, the potential supply of calories seem to matter to population density, but does not help to explain the variation in nightlights.

A potential explanation could be, that there need not be a perfect match between where people live and where they work. To see what this implies, suppose population den- sity captures place of residency to a relatively greater extent than nightlights. Then the positive correlation with caloric suitablity could be due to the fact that cities his- torically usually were located near rich agrarian hinterlands (Henderson et al., 2016).

The location of, say, a factory is potentially less path dependent than a city. Indeed, in recent times production has moved out of city centers to capitalize on lower land prices. Under a similar logic, latitude apparently influences productivity on-the-job more than the location of population centers.

Overall, Roman road density appears strongly associated with economic activity,

both in the past and in the present. In every specification, statistical significance at the

1 percent level is attained, and the economic significance is quite substantial. In our full

specification we find that economic activity during antiquity rises by about 0.6 percent

for every percentage point increase in road density; in the modern day context we find

elasticities in the range 0.5 - 1 depending on the indicator.

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4.3 Exploring the channel: Persistence and Non-Persistence

A key question regarding the results above is whether they reflect a causal impact of ancient roads on modern roads, and ultimately economic activity today. Naturally, the Roman roads are strongly predetermined, so reverse causality is not a concern. But it seems hard to rule out that underlying structural charactaristics, perhaps notably of a geographic nature, could be driving both the intensity of Roman road treatment and the outcomes in focus. That is, despite our best efforts, the results may suffer from omitted variable bias.

In the present section we explore the likelihood that our results can be accounted for in this manner, by exploiting the remarkable abandonment of wheeled transport in the Middle East and North Africa (MENA) during the second half of the first mil- lenium CE (Bulliet, 1990 [1975]). This event is an astonishing fact of world history.

Perhaps especially since wheeled transport has had a very long history in the Mid- dle East before its abandonment. The first instances of primitive two-wheeled carts, drawn by oxen or later by horses were found already in the earliest civilizations of an- cient Mesopotamia, for example. Such transportation was clearly facilitated by roads.

As mentioned above, notable roads were built in Persia during the Achaemenid pe- riod around 500 BCE. But during the Roman era the roads became more pervasive and better constructed. This frames the puzzle: why did wheeled transport decline and disappear under those circumstances?

4.3.1 Empirical strategy: The regional loss of wheeled transport

Bulliet (1990 [1975]) argues that the key proximate reason for the abandonment of the wheel was the emergence of the camel caravan as a more cost effective mode of trans- port of goods in the region. The cost advantage during antiquity can be supported by data from Diocletian’s price edict in 301 CE, which suggests a roughly 20 percent cost advantage in transport of goods by way of camel, relative to oxen.

26

To an economist, this seems like a very reasonable explanation. But it immediately prompts the question of why the ox-carriage then continued to dominate land-based transport until the first

26The objective of the edict was to stabilize prices in the region, which makes it probable that the relative prices, stipulated by the edict, were based on relative cost differences. From the edict it can be calculated that the price of transporting a given amount of goods (in Roman pounds) over a given distance was 20 percent higher per oxen than per camel. See Bulliet (1990, Ch. 1) for further discussion.

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half of the first millenium CE? After all, the domestication of the camel on the Arabian Peninsula pre-dates the Roman era by millenia (Almathen et al, 2016).

Bulliet’s argument is that a series of developments had to take place before the camel could emerge as the dominant mode of transport in MENA. First, the emergence of a new type of camel saddle by 100 BCE made it possible for camel hearding tribes- men to utilize new types of effective weapons. This improved the military strength of ethnic groups that centuries earlier had perfected camel breeding, which allowed them to gradually gain control of the trade routes and, as a consequence, gain politi- cal power as well. Second, another important factor was the decline of Rome and the ultimate rise of Islam as a key power factor in the Mediterranean. As also forcefully ar- gued by Henri Pirenne (2012 [1937]), the ensuring decline in long distance trade across the Mediterranean allowed for an increasing importance of inland trade routes within the former Roman empire, which, in the case of the MENA supported caravan trans- port. However, horse or ox-drawn carts remained the main mode of inland transport in Europe. Therefore it is not surprising that while the Roman roads continued to be maintained and in use in Europe (Glick, 2005 [1979}; Hitchener, 2012), where wheeled vehicles dominated land-based transport, the same does not seem to be have been the case in the remaining regions of the Roman empire where the caravan took over (Bul- liet, 1990).

The implication of these developments is that since ancient roads fall into disrepair in the MENA region, to a much greater extent than in Europe, one should expect to see much less persistence in infrastructure density. The argument is simply that more than a millenium of disrepair most likely would erase the traces of the ancient infrastruc- ture to a considerable extent, and when the importance of maintaining or building roads reappears in North Africa and the Middle East – with the advent of the auto- mobile – the principles underlying road planning almost certainly differed from those that directed the planning of the Roman roads. In Europe, where the ancient roads persisted to a greater extent, modern roads are more likely to be built in place of the ancient roads. As a result, it would seem highly unlikely that modern road density would line up with ancient road density in the Middle East and North Africa whereas persistence would be more likely a priori in Europe.

The potentially differentiated degree of persistence in road density across regions of

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the Empire holds stark implications for the influence of Roman roads on comparative development: one should expect an influence from Roman road density on economic activity today only where persistence in infrastructure is found. Hence Roman roads should be of little importance to contemporary comparative development within the MENA region, while holding explanatory power within Europe. At the same time, one should expect a positive influence of Roman roads on economic activity in all regions during antiquity, before the abandonment of the wheel in North Africa and the Middle East.

These considerations lead to a straightforward test. We re-estimate equation (1) on subsamples: Europe and MENA, respectively. In this setting we expect to see per- sistence of an influence of Roman roads only within the European part of the Empire.

This testing strategy allows us to assess the likelihood that our results above are driven by omitted variable bias. If indeed Roman roads do not predict modern road density in the MENA region, there is little reason why Roman roads should hold explanatory power vis-a-vis contemporary comparative development. If a significant link between past infrastructure investments and current economic activity arises in spite of this, the link is likely spurious or driven by unobserved geographic determinants of roads and economic development. Naturally, one might imagine that Roman roads could influ- ence long run development through some type of cultural or institutional channel. But in light of our extensive controls for current institutions and cultural variation, through country fixed effects and language group fixed effects, such an account would seem to stretch the imagination. Accordingly, the abandonment of the wheel experiment in effect allows us to explore the channel through which our baseline results come about.

Before we turn to the results one further issue is worth raising. Today the MENA

region is considerably poorer, on average, than Europe. Perhaps the factors that sti-

fled economic development in this region would also serve to mollify the explanatory

power of the past? That is, perhaps an absence of a “signal” from the past, in this re-

gion, would have little to do with the mechanism in focus: that the abandonment of

the wheel diminished the persistence of infrastructure and therefore diminished the

persistence in comparative economic development. The key aspect to notice, however,

is that this concern involves comparative development across regions. The strategy em-

ployed below involves looking within regions; regions that ultimately followed seper-

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ate development trajectories overall. While the persistence of infrastructure in Europe relative to, say, the Middle East, may have many causes, the tests conducted below involve asking if infrastructure was persistent within the MENA region and, by ex- tension, whether ancient infrastructure predicts comparative development within the MENA.

4.3.2 Empirical results

In Table 6 we begin by examining the correlation between Roman road density and our measure of economic activity by the end of antiquity. The control set is the one in our full specification (cf column 7 in Tables 2-5).

Table 6

As is evident, across country-cells within Europe and within MENA, repectively, there is more economic activity in places with greater density of Roman roads. A nat- ural interpretation of these findings is that by the end of antiquity areas more con- nected to the Roman road network benefitted on net terms. Hence, prior to the aban- donment of wheeled vehicles there is a positive influence from roads on comparative development, regardless of which region of the empire we focus on. If anything, the economic significance of the link appears stronger in MENA than within Europe.

If we then turn attention to contemporary outcomes, results change markedly. As seen from column 3-4 Roman road density holds statistically significant predictive power within Europe, with respect to modern-day road density, whereas the same is not true for MENA. The economic significance also declines, but the main result is that we can no longer reject the null that the observed positive link is a matter of chance.

This is consistent with what one would expect in the aftermath of the abandonment of the wheel-experiment. As ancient roads are left to decay they ultimately become a less reliable predictor of modern road location in the MENA.

In the remaining columns we turn attention to modern day economic activity. It

is evident that whereas Roman roads hold strong predictive power over comparative

development within Europe, both the economic and statistical significance are dramat-

ically smaller within the MENA sample. In light of the absence of persistence in road

density, these results are revealing, strongly suggesting that the explanatory power

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of Roman roads on current economic development is driven by the persistence of the road network.

Overall the results provide interesting perspectives on the roots of comparative de- velopment. While previous research has demonstrated how the observed persistence in economic development can arise due to variations in geographic initial conditions, either directly or indirectly via cultural or institutional change, the above results draw attention to an important role for shocks with persistent influence. From the point of view of any given geographical sub-region the emergence of the Roman Empire, and with it the Roman road network, is best viewed as external. The modest importance of geography in dictating the location of roads (cf Section 3) illustrates that second nature processes can, to some extent independently of geography (or first nature processes), have a substantial impact on long-run comparative development. In the present con- text the persistence of the shocks, and thereby in comparative development, arise via a remarkable degree of persistence in road density across several millennia, in re- gions where the roads were deemed economically useful. Evidently, persistence in infrastructure investments is a potential source of persistence in comparative develop- ment.

5 Concluding remarks

The existing literature on comparative development has drawn attention to a remark- able pattern of persistence in economic activity: places featuring comparatively high levels of economic development long before the industrial revolution often seem to fea- ture high levels of comparative development today. In the present project we examine the persistence of an important proximate source of economic activity: Infrastructure investments.

Our analysis reveals that, within regions that used to be part of the Roman empire,

infrastructure density is highly persistent. That is, Roman road density is generally a

strong predictor of modern day road density. Moreover, Roman road density is gen-

erally a predictor of contemporary economic activity. These results are statistically

strong and resillient to extensive controls including for contemporary institutions and

cultural values. Taken at face value, these results suggest that infrastructure may be

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one important channel through which the persistence in comparative development comes about.

In examining whether our core results, linking early infrastructure to current-day infrastructure and economic activity, are likely to reflect causal relationships, we exam- ine the remarkable historical case of the abandonment of the wheel that occurred in the Middle-East and North Africa (MENA) during the second half of the first millenium CE. We find that in the MENA region, Roman roads lose predictive power vis-a-vis modern day roads. Moreover, Roman road density does not predict current day eco- nomic activity within the MENA region. In contrast, in the European region, where the roads were maintained, our baseline results carry over. These results suggest quite strongly that our reduced form results, linking Roman road density to current compar- ative development, are importantly caused by the persistence of infrastructure over a remarkable period of 2000 years.

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Figures

Figure 1: Conditional relationship between population in 2010 and the extent of Roman settlements in 500 CE within the former Roman Empire

Note: The figure shows the conditional binned residual scatter plot of the relationship between population size (in logs) in 2010 and number of Roman settlements (in logs) in 500 CE for 693

country-cells within the former Roman empire. The binned scatter plot groups the x-axis variable into equal-sized bins, computes the mean of the x-axis and y-axis variables within each bin, then creates a scatterplot of these data points. The underlying regression controls for contemporary country fixed effects and hence estimates the within-country impact of historical Roman settlements on

contemporaneous population levels.

-2-1012Population in 2010 (log)

-1 -.5 0 .5 1 1.5

Roman settlements in 500 CE (log)

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Figure 2: Roman roads and contemporary night light intensity among 1000 country-cells within the Roman empire in 117 CE

Note: The map shows major Roman roads (red lines) within the boundaries of the Roman Empire (green lines) in 117 CE with nightlights intensity in 2010 indicated by white color.

References

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Enligt Jank & Mayer kan didaktik också ”vara en del av de praktiska pedagogiska handlingar som utförs av lärare och elever” (Jank & Meyer1997:18). Vad eleverna söker i